Derives Whitham modulation equations via averaged variational principle for the regularized Boussinesq equation, classifies periodic waves, and shows loss of hyperbolicity implies modulational instability.
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Whitham modulation equations for the regularized Boussinesq equation with cubic nonlinearity
Derives Whitham modulation equations via averaged variational principle for the regularized Boussinesq equation, classifies periodic waves, and shows loss of hyperbolicity implies modulational instability.